-6-4(9r-3)=-2(19r+11)

Solution for -6-4(9r-3)=-2(19r+11) equation:

Simplifying
-6 + -4(9r + -3) = -2(19r + 11)

Reorder the terms:
-6 + -4(-3 + 9r) = -2(19r + 11)
-6 + (-3 * -4 + 9r * -4) = -2(19r + 11)
-6 + (12 + -36r) = -2(19r + 11)

Combine like terms: -6 + 12 = 6
6 + -36r = -2(19r + 11)

Reorder the terms:
6 + -36r = -2(11 + 19r)
6 + -36r = (11 * -2 + 19r * -2)
6 + -36r = (-22 + -38r)

Solving
6 + -36r = -22 + -38r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '38r' to each side of the equation.
6 + -36r + 38r = -22 + -38r + 38r

Combine like terms: -36r + 38r = 2r
6 + 2r = -22 + -38r + 38r

Combine like terms: -38r + 38r = 0
6 + 2r = -22 + 0
6 + 2r = -22

Add '-6' to each side of the equation.
6 + -6 + 2r = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = -22 + -6
2r = -22 + -6

Combine like terms: -22 + -6 = -28
2r = -28

Divide each side by '2'.
r = -14

Simplifying
r = -14